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Mathematics Summary

Topic: Multiplication and Division Fact Families
1Fact Family Pattern
  • A × B = C
  • B × A = C
  • CA = B
  • CB = A
The same 3 numbers make 4 connected facts.
2How Fact Families Work
  • Multiplication combines two factors to make a product.
  • Division starts with the product.
  • Two multiplication facts belong to the same family.
  • Two division facts belong to the same family.
  • Switching the factors keeps the same product.
3How to Memorise Quickly
  1. Learn the 3 numbers as one group.
  2. Say the 2 multiplication facts aloud.
  3. Say the 2 division facts aloud.
  4. Start division with the biggest number.
  5. Recall all 4 facts together.
4Fast Recall Routine
  1. Look — see the 3-part family.
  2. Say — recite all 4 facts.
  3. Hide — cover one part.
  4. Recall — say the missing fact.
  5. Repeat — review again later.
5Remember Faster + Key Words
Remember FasterKey Words
Learn 4 facts as 1 familyFactor — a number being multiplied
Start with multiplication firstProduct — the answer to multiplication
Division starts with the productDividend — the number being divided
The biggest number is usually the productDivisor — the number you divide by
Say the facts aloud with rhythmQuotient — the answer to division
Use cover-and-recall
Review after 10 minutes, 1 day and 1 week
Quick Tip
When recalling division facts, begin with the product because it is usually the biggest number in the family.